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What is the Least Common Multiple of 66910 and 66925?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 66910 and 66925 is 895590350.

LCM(66910,66925) = 895590350

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Least Common Multiple of 66910 and 66925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66910 and 66925, than apply into the LCM equation.

GCF(66910,66925) = 5
LCM(66910,66925) = ( 66910 × 66925) / 5
LCM(66910,66925) = 4477951750 / 5
LCM(66910,66925) = 895590350

Least Common Multiple (LCM) of 66910 and 66925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66910 and 66925. First we will calculate the prime factors of 66910 and 66925.

Prime Factorization of 66910

Prime factors of 66910 are 2, 5, 6691. Prime factorization of 66910 in exponential form is:

66910 = 21 × 51 × 66911

Prime Factorization of 66925

Prime factors of 66925 are 5, 2677. Prime factorization of 66925 in exponential form is:

66925 = 52 × 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 66910 and 66925.

LCM(66910,66925) = 21 × 52 × 66911 × 26771
LCM(66910,66925) = 895590350